| In this thesis, under the assumptions that every choice set is normal, and the t-norm inv-olved is continuous, we investigate the relationships between some rationality indicators in the contraction-extension sense of fuzzy choice sets, and the links between the congruence indicators of fuzzy choice functions. Our main work and results are summarized as follows.Firstly, we present a degree description of some rationality conditions of fuzzy choice functions which were introduced by Georgescu, and discuss the connections between these rationality indicators in detail in the sense of contraction-extension of choice sets. Especially we obtain some ideal results on the relationships between some rationality condition indicators under the t-norm Min. Main results include:the G-normal indicator is equal to the minimum of the Fα2-consistency indicator and the Fγ2-consistency indicator; the minimum of the Fα2-consistency indicator and the Fδ2-consistency indicator is less than the Fδ-consistency indicator etc.Secondly, we define the congruence indicators and the satisfaction indicator of a new revealed preference axiom WAFRPD based on the dominance degree. Then we investigate the connections between these indicators.In summary, we present the satisfaction degree of some rationality conditions which play an important role in the investigation of fuzzy choice functions and discuss the connections of these rationality indicators, and thus deepen the investigation of rationality properties of fuzzy choice functions.
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